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Finding the Third Proportional to 233,291.25 and 511,778.25

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Solution

The third proportional to 233,291.25 and 511,778.25 is: 1,122,703.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,291.25 : 511,778.25 = 511,778.25 : x
  2. Step 2: Convert to fraction form
    233,291.25/511,778.25 = 511,778.25/x
  3. Step 3: Cross multiply
    233,291.25x = 511,778.25 × 511,778.25
  4. Step 4: Simplify right side
    233,291.25x = 261,916,977,173.06
  5. Step 5: Solve for x
    x = 261,916,977,173.06/233,291.25
  6. Step 6: Final answer
    x = 1,122,703.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.